A principle of linearized stability for nonlinear evolution equations
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- by Nobuyuki Kato
- Trans. Amer. Math. Soc. 347 (1995), 2851-2868
- DOI: https://doi.org/10.1090/S0002-9947-1995-1290722-8
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Abstract:
We present a principle of linearized stability of stationary solutions to nonlinear evolution equation in Banach spaces. The well-known semilinear case is shown to fit into our framework. Applications to nonlinear population dynamics and to functional differential equations are also considered.References
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Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 2851-2868
- MSC: Primary 34G20; Secondary 34D05, 34K30, 35K55, 47N20
- DOI: https://doi.org/10.1090/S0002-9947-1995-1290722-8
- MathSciNet review: 1290722